10083575781 has 24 divisors (see below), whose sum is σ = 14820241176. Its totient is φ = 6604899840.

The previous prime is 10083575779. The next prime is 10083575807. The reversal of 10083575781 is 18757538001.

10083575781 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 3 + 575 + 78 + 1 = 666.

10083575781 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 160427556 + 9923148225 = 12666^2 + 99615^2 .

It is not a de Polignac number, because 10083575781 - 2¹ = 10083575779 is a prime.

It is a super-2 number, since 2×10083575781² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083575741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 513561 + ... + 532833.

It is an arithmetic number, because the mean of its divisors is an integer number (617510049).

Almost surely, 2^10083575781 is an apocalyptic number.

It is an amenable number.

10083575781 is a deficient number, since it is larger than the sum of its proper divisors (4736665395).

10083575781 is a wasteful number, since it uses less digits than its factorization.

10083575781 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20293 (or 20290 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 45.

The spelling of 10083575781 in words is "ten billion, eighty-three million, five hundred seventy-five thousand, seven hundred eighty-one".